Academic Standards

8.1.2: Recognize positive integer powers as repeated multiplication. Recognize negative integer powers as repeated division or multiplication by the multiplicative inverse.

Dividing Exponential Expressions

Exponents and Power Rules

8.1.3: Use the laws of exponents for integer exponents and evaluate expressions with negative integer exponents.

Dividing Exponential Expressions

Exponents and Power Rules

8.1.5: Calculate square roots of perfect squares, estimate square roots of numbers less than 1,000, and use the inverse relationship between squares and square roots.

8.1.6: Solve percent, ratio and proportion problems.

8.1.6.1: Find average rates.

Describing Data Using Statistics

Mean, Median and Mode

Movie Reviewer (Mean and Median)

8.1.6.2: Express one quantity as a percent of another.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

8.1.6.3: Compare two quantities by percent.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

8.1.6.4: Use percents greater than 100 percent.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

8.1.6.5: Increase or decrease a quantity by a given percent.

8.1.6.6: Find the original amount for a given percent increase or decrease.

8.1.6.7: Solve problems involving percents, ratios and proportions.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part:Part and Part:Whole Ratios

Percents and Proportions

Polling: Neighborhood

Proportions and Common Multipliers

8.1.6.8: Solve problems involving simple and compound interest.

8.2.1: Write and solve linear equations and inequalities, interpret the solution or solutions in their context, and verify the reasonableness of the results.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

Using Algebraic Equations

Using Algebraic Expressions

8.2.2: Solve equations and formulas for a specified variable.

Modeling and Solving Two-Step Equations

Solving Formulas for any Variable

Solving Two-Step Equations

8.2.3: Simplify algebraic expressions involving powers.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

8.2.4: Identify and graph linear functions and identify lines with positive and negative slopes.

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

8.2.5: Find the slope of a linear function given the equation. Write the equation of a line given the slope and any point on the line.

Defining a Line with Two Points

Linear Functions

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

8.2.6: Translate among tables, equations, verbal expressions and graphs of linear functions and recognize in (y = mx + b) that m is the rate of change and b is the vertical intercept of the graph.

Direct Variation

Direct and Inverse Variation

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

8.2.7: Identify functions as linear or nonlinear and contrast their characteristics from tables, graphs and equations.

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

8.2.8: Use linear functions and linear equations to represent, analyze and solve problems.

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

8.3.1: Perform basic compass and straightedge constructions: angle and segment bisectors, copies of segments and angles, and perpendicular segments. Describe and justify the constructions.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

8.3.3: Explain why the Pythagorean Theorem is valid using a variety of methods and use the Pythagorean Theorem and its converse to calculate lengths of line segments.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

8.3.4: Solve simple problems involving rates and other derived measurements - including problems involving speed, uniform speed, average speed and density - by applying the concept of proportionality to measurement in different contexts. Express measurements in a given unit or in terms of other units of the same type.

Density Experiment: Slice and Dice

Density Laboratory

Density via Comparison

Determining Density via Water Displacement

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Polling: Neighborhood

Road Trip (Problem Solving)

8.3.5: Use scale factors to find the area and volume of similar figures.

Perimeters and Areas of Similar Figures

Prisms and Cylinders - Activity A

Similar Figures - Activity A

Similar Polygons

8.3.6: Find and use the surface area and volume of cones, spheres and pyramids.

Pyramids and Cones - Activity A

Surface and Lateral Area of Pyramids and Cones

8.3.7: Estimate and compute the area of irregular two-dimensional shapes and the volume of irregular three-dimensional objects by breaking them down into more basic geometric objects.

Area of Parallelograms - Activity A

8.4.2: Identify different methods of selecting samples. Analyze the strengths and weaknesses of each method and the possible bias in samples or displays.

8.4.3: Use mean, median, mode, upper and lower quartiles, and range to compare data sets. Organize and display data to highlight important features such as the range and how the data is spread around a central value. Investigate what happens to the display when some of the data values are changed.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Mean, Median and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

8.4.4: Analyze, interpret and display data in box-and-whisker plots.

8.4.5: Display two-variable data in scatter plots and describe how the data points are distributed. If the pattern appears to be linear, draw a line that appears to best fit the data and write the equation of that line.

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

8.4.6: Describe and apply the addition rule for probabilities for simple events that are mutually exclusive and for simple events that are not.

Probability Simulations

Theoretical and Experimental Probability

8.4.7: Compute probabilities of events from simple experiments with equally probable outcomes. Use methods like organized lists, tree diagrams and area models.

Geometric Probability - Activity A

Permutations

Permutations and Combinations

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.